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Finding the Fourth Proportional to 15,882.80, 23,824.20 and 10,065.20

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Solution

The fourth proportional to 15,882.80, 23,824.20 and 10,065.20 is: 15,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.80 : 23,824.20 = 10,065.20 : x
  2. Step 2: Convert to fraction form
    15,882.80/23,824.20 = 10,065.20/x
  3. Step 3: Cross multiply
    15,882.80x = 23,824.20 × 10,065.20
  4. Step 4: Simplify right side
    15,882.80x = 239,795,337.84
  5. Step 5: Solve for x
    x = 239,795,337.84/15,882.80
  6. Step 6: Final answer
    x = 15,097.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.